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    p-Adic Fractional Pseudodifferential Equations and Sobolev Type Spaces over p-Adic Fields by Bo Wu

    Published 2013-01-01
    “…In this paper, we study the solutions of the pseudodifferential equations of type Dα u=v over p-adic field ℚp, where Dα is a p-adic fractional pseudodifferential operator. …”
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    Boundedness for Commutators of Rough p-Adic Hardy Operator on p-Adic Central Morrey Spaces by Naqash Sarfraz, Muhammad Aslam, Fahd Jarad

    Published 2021-01-01
    “…In the present article we obtain the boundedness for commutators of rough p-adic Hardy operator on p-adic central Morrey spaces. …”
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    Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative by Leonardo Fabio Chacón-Cortés, Humberto Rafeiro

    Published 2021-01-01
    “…In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces. As an application, we show the existence and uniqueness of the solution for a nonhomogeneous Cauchy problem in the p-adic variable exponent Lebesgue spaces.…”
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    The p-Adic Valuations of Sums of Binomial Coefficients by Yong Zhang, Peisen Yuan

    Published 2021-01-01
    “…Also, for any n∈ℤ+, we have νp∑k=0n−1hn−1k2kk−h/2k≥νpn, where νpn denotes the p-adic order of n. For any integer m≡0modp and positive integer n, we have 1/pn∑k=0pn−1pn−1k2kk/−mk−mm−4/p∑k=0n−1n−1k2kk/−mk∈ℤp, where −˙ is the Legendre symbol and ℤp is the ring of p-adic integers.…”
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    Nearly Quadratic Mappings over p-Adic Fields by M. Eshaghi Gordji, H. Khodaei, Gwang Hui Kim

    Published 2012-01-01
    “…We establish some stability results over p-adic fields for the generalized quadratic functional equation ∑k=2n∑i1=2k∑i2=i1+1k+1⋯∑in-k+1=in-k+1nf(∑i=1,i≠i1,…,in-k+1nxi-∑r=1n-k+1xir)+f(∑i=1nxi)=2n-1∑i=1nf(xi), where n∈N and n≥2.…”
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    The diagnosis of DIC: a current overview by Hongyu Yang, Xiaochun Ma, Xu Li

    Published 2025-01-01
    “…The name of disseminated intravascular coagulation (DIC) and its diagnostic criteria remain controversial. …”
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    On 𝑝-Adic Analogue of 𝑞-Bernstein Polynomials and Related Integrals by T. Kim, J. Choi, Y. H. Kim, L. C. Jang

    Published 2010-01-01
    “…Finally, we also derive some relations on the 𝑝-adic 𝑞-integral of the products of several type Kim's 𝑞-Bernstein polynomials and the powers of them on ℤ𝑝.…”
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    DIC-Based Operational Modal Analysis of Bridges by Gongfa Chen, Zhihua Wu, Chunjian Gong, Jiqiao Zhang, Xiaoli Sun

    Published 2021-01-01
    “…A new method has been proposed to identify the natural frequencies and mode shapes of a bridge model, in which the digital image correlation (DIC) technique is used to track the dynamic displacement. …”
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    Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp by Dae San Kim, Taekyun Kim

    Published 2012-01-01
    “…In this paper, we investigate some properties of umbral calculus associated with p-adic invariant integrals on Zp. From our properties, we can also derive some interesting identities of Bernoulli polynomials.…”
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    Symmetry Fermionic 𝑝-Adic 𝑞-Integral on ℤ𝑝 for Eulerian Polynomials by Daeyeoul Kim, Min-Soo Kim

    Published 2012-01-01
    “…Kim et al. (2012) introduced an interesting p-adic analogue of the Eulerian polynomials. They studied some identities on the Eulerian polynomials in connection with the Genocchi, Euler, and tangent numbers. …”
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    Apropriação crítica e criativa das TDIC no Ensino de Ciências by Ingrid Nicola Souto, Andrea Brandao Lapa, Marina Bazzo de Espíndola

    Published 2019-06-01
    Subjects: “…Tecnologias digitais de informação e comunicação (TDIC)…”
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    p-Adic Riesz Potential and Its Commutators on Morrey-Herz Spaces by Yanlong Shi, Yafeng Shi, Shenbao Chen

    Published 2022-01-01
    “…In this paper, we establish the boundedness of p-adic Riesz potential on Morrey-Herz spaces, as well as the λ-central BMO estimates for multilinear commutators of p-adic Riesz potential on Morrey-Herz spaces.…”
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    Automated Design of an FDI System for the Wind Turbine Benchmark by Carl Svärd, Mattias Nyberg

    Published 2012-01-01
    “…We propose an FDI system for the wind turbine benchmark designed by the application of a generic automated method. …”
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